29964676 has 81 divisors (see below), whose sum is σ = 67738629. Its totient is φ = 11561088.

The previous prime is 29964673. The next prime is 29964677. The reversal of 29964676 is 67646992.

The square root of 29964676 is 5474.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23328900 + 6635776 = 4830^2 + 2576^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (29964673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1302801 + ... + 1302823.

Almost surely, 2^29964676 is an apocalyptic number.

29964676 is the 5474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29964676

29964676 is an abundant number, since it is smaller than the sum of its proper divisors (37773953).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29964676 is a wasteful number, since it uses less digits than its factorization.

29964676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

The cubic root of 29964676 is about 310.6012472745.

Multiplying 29964676 by its sum of digits (49), we get a square (1468269124 = 38318²).

29964676 divided by its sum of digits (49) gives a square (611524 = 782²).

The spelling of 29964676 in words is "twenty-nine million, nine hundred sixty-four thousand, six hundred seventy-six".